CBSE 10 Maths Question Paper-2022 Set-1

In an AP, if a = 50, d = 4 and Sn = 0, then find the value of n.

Find the sum of the first twelve 2-digit multiples of 7, using an AP.

Find the nature of the roots of the quadratic equation x² + 5x + 9 = 0.

A solid metallic sphere of radius 3 cm is melted and recast into the shape of a solid cylinder of radius 2 cm. Find the height of the cylinder.

Solve the quadratic equation x² + 3x - 9 = 0 for x.

Find the mode of the following frequency distribution: Class 0-20, Frequency 8; Class 20-40, Frequency 7; Class 40-60, Frequency 12.

A solid metallic sphere of radius 5 cm is melted and recast into a cone. If the radius of the cone is 3 cm, find the height of the cone.

Find the sum of the first 10 terms of an arithmetic progression where a = 4 and d = 5.

Find the roots of the quadratic equation x² - 4x + 4 = 0.

Find the value of n in the arithmetic progression if the first term is 3, the common difference is 6, and Sn = 72.

The radius of a sphere is 4 cm. Find its volume.

The sum of the first 20 terms of an arithmetic progression is 400. Find the common difference if the first term is 10.

A tower stands vertically on the ground. From a point on the ground, which is 30 meters away from the foot of the tower, the angle of elevation of the top of the tower is 60°. Find the height of the tower.

The sum of the first 15 terms of an arithmetic progression is 360. If the first term is 20, find the common difference.

Find the mean of the following data: Marks 0-10, 10-20, 20-30, 30-40, Frequency 3, 8, 15, 10.

In a right triangle, if the lengths of the two perpendicular sides are 6 and 8, find the length of the hypotenuse.

The sum of two angles in a triangle is 110°. Find the third angle.

The perimeter of a square is 40 cm. Find its area.

Find the surface area of a cylinder with radius 7 cm and height 14 cm.

Find the length of the diagonal of a rectangle with sides 6 cm and 8 cm.

Find the area of a triangle with base 12 cm and height 8 cm.

In a circle, the radius is 5 cm. Find the circumference of the circle.

A solid cone has a radius of 3 cm and height of 4 cm. Find the volume of the cone.

Find the sum of the first 15 terms of an arithmetic series where a = 5 and d = 3.

Find the area of a rectangle with length 5 cm and width 3 cm.

The sum of the angles of a triangle is 180°. If two angles are 50° and 60°, find the third angle.

Find the volume of a cylinder with radius 4 cm and height 10 cm.

A solid sphere has a radius of 3 cm. Find its surface area.

In a right-angled triangle, the lengths of the two perpendicular sides are 6 cm and 8 cm. Find the hypotenuse.

Find the perimeter of a square with side length 5 cm.